Before
we start the NPV calculation, here are the facts we are going to use –
· The cost to install the required equipment will be $105,000,
this is the outflow on year 0, this is a tangible long term asset, and we are
going to depreciate it over 5 years in a straight line, so it will depreciate at
the rate of $21000 every year until the book value becomes 0
· The gross revenues from the project will be $25,000 for
year 1, then $27,000 for years 2 and 3. Year 4 will be $28,000 and year 5 (the
last year of the project) will be $23,000·
· The estimated cash outflows are $13000 on year 1, $12000
on year 2 to 4 and on 5th year $10000
· In 5 years, the equipment will stop working and can be
sold for its parts for about $5,000.
· The capital borrowing cost is 3%
· Discount rate we will use to calculate NPV 7%
With
these data we can calculate the net income from the project considering all
cash inflows and cash outflows -
Year
|
0
|
1
|
2
|
3
|
4
|
5
|
5
|
Project Discount Rate
|
0.07
|
|
|
|
|
|
|
Equipment purchase
price
|
($105,000)
|
|
|
|
|
|
|
Cash inflow from new
equipment
|
|
$25,000
|
$27,000
|
$27,000
|
$28,000
|
$23,000
|
|
Salvage value
|
|
|
|
|
|
|
$5,000
|
Depreciation
|
|
($21,000)
|
($21,000)
|
($21,000)
|
($21,000)
|
($21,000)
|
$0
|
Interest Payment on
Loan
|
|
($3,150)
|
($3,150)
|
($3,150)
|
($3,150)
|
($3,150)
|
|
Outflow
|
|
($13,000)
|
($12,000)
|
($12,000)
|
($12,000)
|
($10,000)
|
|
Earning Before Tax
|
|
($12,150)
|
($9,150)
|
($9,150)
|
($8,150)
|
($11,150)
|
$5,000
|
30% Income Tax
|
|
|
|
|
|
|
$1,500
|
Net Income
|
($105,000)
|
($12,150)
|
($9,150)
|
($9,150)
|
($8,150)
|
($11,150)
|
$3,500
|
In the table
above we have considered the gross revenue (estimated) to the estimated cash
inflows and the salvage value of the equipment to be cash inflow too.
Depreciation
is considered as a deduction from revenue before tax (Investopedia, n.d.)
The $105000
was borrowed and we will have to make an interest payment at interest rate 3%,
that is considered as cash outflow.
And we have
to factor in the project cash outflows over 5 years period.
So, we can
see in the above table the Income before tax is in negative, so the income tax
won’t be applicable on those, apart from the cash the business generates for
the salvage value of the equipment.
We can
calculate the Operating Cash flow, just by adding the depreciated value back to
net income
Year
|
0
|
1
|
2
|
3
|
4
|
5
|
5
|
Project Discount Rate
|
0.07
|
|
|
|
|
|
|
Equipment purchase
price
|
($105,000)
|
|
|
|
|
|
|
Cash inflow from new
equipment
|
|
$25,000
|
$27,000
|
$27,000
|
$28,000
|
$23,000
|
|
Salvage value
|
|
|
|
|
|
|
$5,000
|
Depreciation
|
|
($21,000)
|
($21,000)
|
($21,000)
|
($21,000)
|
($21,000)
|
$0
|
Interest Payment on
Loan
|
|
($3,150)
|
($3,150)
|
($3,150)
|
($3,150)
|
($3,150)
|
|
Outflow
|
|
($13,000)
|
($12,000)
|
($12,000)
|
($12,000)
|
($10,000)
|
|
Earning Before Tax
|
|
($12,150)
|
($9,150)
|
($9,150)
|
($8,150)
|
($11,150)
|
$5,000
|
30% Income Tax
|
|
|
|
|
|
|
$1,500
|
Net Income
|
|
($12,150)
|
($9,150)
|
($9,150)
|
($8,150)
|
($11,150)
|
$3,500
|
OCF
|
|
$8,850
|
$11,850
|
$11,850
|
$12,850
|
$9,850
|
$3,500
|
Taxes are
included while calculating operating cash flow, but depreciation is added first
to the revenue and then tax is subtracted (Investopedia, 2018). But in this
case the company is not making any profit before taxes. Since the company is
making loss there won’t be any tax on losses.
Now that we
have Cash Flow, we can estimate the Present Value and Net Present Value -
Year
|
0
|
1
|
2
|
3
|
4
|
5
|
5
|
NPV
|
Project Discount Rate
|
0.07
|
|
|
|
|
|
|
|
Equipment purchase
price
|
-105000.00
|
|
|
|
|
|
|
|
Cash inflow from new
equipment
|
|
25000.00
|
27000.00
|
27000.00
|
28000.00
|
23000.00
|
|
|
Salvage value
|
|
|
|
|
|
|
5000.00
|
|
Depreciation
|
|
-21000.00
|
-21000.00
|
-21000.00
|
-21000.00
|
-21000.00
|
0.00
|
|
Interest Payment on
Loan
|
|
-3150.00
|
-3150.00
|
-3150.00
|
-3150.00
|
-3150.00
|
|
|
Outflow
|
|
-13000.00
|
-12000.00
|
-12000.00
|
-12000.00
|
-10000.00
|
|
|
Earning Before Tax
|
|
-12150.00
|
-9150.00
|
-9150.00
|
-8150.00
|
-11150.00
|
5000.00
|
|
30% Income Tax
|
|
|
|
|
|
|
1500.00
|
|
Net Income
|
|
-12150.00
|
-9150.00
|
-9150.00
|
-8150.00
|
-11150.00
|
3500.00
|
|
OCF
|
|
8850.00
|
11850.00
|
11850.00
|
12850.00
|
9850.00
|
3500.00
|
|
Present Value of
Future Cash Flow
|
-105000.00
|
8271.03
|
10350.25
|
9673.13
|
9803.20
|
7022.91
|
2495.45
|
|
NPV
|
|
|
|
|
|
|
|
-61854.88
|
Hence the
NPV the negative, so this project is not financially profitable.
Conclusion –
based on the NPV which is negative this project should not be pursued.
References:
Retrieved on
4/29/2018. Retrieved from https://www.investopedia.com/ask/answers/012615/are-taxes-calculated-operating-cash-flow.asp
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